The domain for the given function is {-1, 2, 33, 32}.
A function's or relation's domain is the set of all possible independent values that the relation can take. It is the sum of all possible inputs.
A function's or relation's range is the set of all possible dependent values that the relation can produce from the domain values. It is the sum of all possible outputs.
When dealing with sets of ordered pairs, we simply divide the pairs into x- and y-coordinates. The domain is formed by the x-coordinates, which are independent values. The y-coordinates are the dependent values, i.e. they define the range.The domain in the set of ordered pairs {(a,b); (c,d); (e,f); (g,h)} is the set of the first number in each pair (those are the x-coordinates): {a,c,e,g}. The range is the set of all the pairs with the second number (the y-coordinates): {b,d,f,h}.
Given,
The set of ordered pair = {(-1,5) , (2,3), (33,6), (32,7)}
then,
the Domain = {-1, 2, 33, 32}
Range = {5, 3, 6, 7}
Thus, the domain for the given function is {-1, 2, 33, 32}
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Graph the following function by moving the points to match two ordered pairs, including the x-intercept:
f(x) = log 1/8(x)
The two points, along with the [x] - intercept are joined are joined.
What is logarithmic function? What is a exponential function?In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number [x] to the base [b] is the exponent to which [b] must be raised, to produce [x]. We can write -[tex]y =log_{e} x[/tex]
In mathematics, an exponential function is a function of form f(x) = aˣ, where [x] is a variable and [a] is a constant which is called the base of the function and it should be greater than 0. Examples of exponential function : f(x) = 4ˣWe have the following function -
y = log (1/8)x
We can write -
y = log (1/8)x
y = log(x/8)
y = log(x) - log(8)
Refer to the graph attached. The two points, along with the [x] - intercept are joined.
Therefore, the two points, along with the [x] - intercept are joined are joined.
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if is the point , (x, sin10pi/x) find the slope of the secant line (correct to four decimal places) for and . do the slopes appear to be approaching a limit?
The slopes of the secant lines do not appear to be approaching a limit.
For each value of x, calculate y and then use the slope formula to find the slope of P Q for the given limit.
x = 2 → y = 0 : Q(2, 0) ⇒ m =0 − 0 / 2 − 1 = 0
x = 1.5 → y ≈ 0.866 : Q(1.5, 0.866) ⇒ m = 0.866 − 0/ 1.5 − 1 ≈ 1.73
x = 1.4 → y ≈ −0.434 : Q(1.4, −0.434) ⇒ m =−0.434 − 0 / 1.4 − 1 = −1.08
x = 1.3 → y ≈ −0.823 : Q(1.3, −0.823) ⇒ m = −0.823 − 0/1.3 − 1 = −2.74
x = 1.2 → y ≈ 0.866 : Q(1.2, 0.866) ⇒ m = 0.866 − 0 / 1.2 − 1 = 4.33
x = 1.1 → y ≈ −0.282 : Q(1.1, −0.282) ⇒ m = −0.282 − 0/1.1 − 1 = −2.82
x = 0.9 → y ≈ −0.342 : Q(0.9, −0.342) ⇒ m = −0.342 − 0/0.9 − 1 = 3.42
x = 0.8 → y = 1 : Q(0.8, 1) ⇒ m = 1 − 0/ 0.8 − 1 = −5
x = 0.7 → y ≈ 0.782 : Q(0.7, 0.782) ⇒ m = 0.782 − 0/0.7 − 1 = −2.61
x = 0.6 → y ≈ 0.866 : Q(0.6, 0.866) ⇒ m = 0.866 − 0 / 0.6 − 1 = −2.17
x = 0.5 → y = 0 : Q(0.5, 0) ⇒ m = 0 − 0 / 0.5 − 1 = 0
Hence, The slopes of the secant lines do not appear to be approaching a limit.
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karen is going to rent a truck for one day. there are two companies she can choose from, and they have the following prices. company a charges and allows unlimited mileage. company b has an initial fee of and charges an additional for every mile driven. for what mileages will company a charge less than company b? use for the number of miles driven, and solve your inequality for .
Company B charges a $55 initial price plus an extra $0.90 for every mile traveled. For 70 miles, Company A will charge less than Company B.
The occurrence of an unfair and/or uneven distribution of opportunities and resources among the people that make up a society is referred to as inequality. To different individuals and in various settings, the word "inequality" may indicate different things.
$118 in change and unrestricted mileage
B affects the initial $550 and the cost per mile traveled.
Let m stand for the distance covered.
So inequality is
118 < 55 + 0.90 m
= 0.90 m > 118 - 55
= m > 63/0.90
= m > 70
So for 70 miles above company A changed less than company B.
Complete question:
Karen is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices. Company A charges $118 and allows unlimited mileage. Company B has an initial fee of $55 and charges an additional $0.90 for every mile driven. For what mileages will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m.
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Simplify 2(3+d-1) pls
Answer:
6+d-1
Step-by-step explanation:
Answer:
2d+4
Step-by-step explanation:
2(3+d-1)
2(3)+2(d)+2(-1)
6+2d-2
2d+4
hopes this helps
Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
Answer:
[tex]\textsf{a)} \quad y=-4x+19[/tex]
[tex]\textsf{b)} \quad y=\dfrac{1}{4}x+2[/tex]
Step-by-step explanation:
From inspection of the graph, two points on the line are:
(1, 6)(2, 2)Substitute these points in the slope formula to find the slope of the line:
[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{2-6}{2-1}=\dfrac{-4}{1}=-4[/tex]
Part (a)Lines that are parallel have the same slope.
Therefore, a line parallel to the given line has a slope of -4.
To write an equation of the parallel line, substitute the found slope and point (4, 3) into the point-slope formula and rearrange:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-3=-4(x-4)[/tex]
[tex]\implies y-3=-4x+16[/tex]
[tex]\implies y=-4x+19[/tex]
Part (b)If two lines are perpendicular to each other, their slopes are negative reciprocals.
Therefore, a line perpendicular to the given line has a slope of ¹/₄.
To write an equation of the parallel line, substitute the found slope and point (4, 3) into the point-slope formula and rearrange:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-3=\dfrac{1}{4}(x-4)[/tex]
[tex]\implies y-3=\dfrac{1}{4}x-1[/tex]
[tex]\implies y=\dfrac{1}{4}x+2[/tex]
What are the x- and y- coordinates of point e, which partitions the directed line segment from j to k into a ratio of 1:4? x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 y = (startfraction m over m n endfraction) (y 2 minus y 1) y 1 (–13, –3) (–7, –1) (–5, 0) (17, 11)
Point E's coordinates are (-7, -1).
The formulas for our new x and y are provided to us. We must first establish our points 1 and 2 before applying this formula. Due to the fact that the issue was sole with the point E that divides the line segment "from J to K,"
the following formula: point 1 = point J = (x1, y1)
Points 2 and K are equal (x2, y2)
The partition segments JE and EK take up a certain amount of the original segment, as indicated by the variables m and n. Given that the ratio is 1:1, then
JE = m = 1
EK = n = 4
Consequently, using the above formulas to calculate for x and y:
x = [1 / (1 + 4)] (25 – (-15)) + (-15) (-15)
x = -7
y = [1 / (1 + 4)] (15 – (-5)) + (-5) (-5)
y = -1
Consequently, point E's coordinates are (-7, -1)
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Which equation has the solution x =
9?
Select each correct answer.
O 4 + 5x = 18
O 2x - 3 = 15
O 24-2x= 13
O x/3+7=8
O81/x-3=6
O3x+2=25
Answer:
The answer is none its that easy i dont need to explain it
Step-by-step explanation:
your words.
Answer: 2x+3=15 and 81/x-3=6
Step-by-step explanation:
a 1\$ lottery ticket has the following prizes: 10\$ cash for 3 people; 50\$ cash for 2 people ; 100\$ cash for 1 person. winners are chosen randomly. if 300 people bought this lottery, what is the expected profit of a random person?
If winners are chosen randomly from the 300 people who bought this lottery, the expected profit of a random person is $0.766..
Expected value or profit :The expected profit under a probability demand distribution is calculated by multiplying the profit amount by the probability of achieving that profit.
It is denoted as E(X) . We have given that,
A $1 lottery ticket has a number of prizes.
Probability of winning first prize , $10 = p₁ = 3/300 = 1/100
probability of winning a 2nd prize, $50
= p₂= 2/300= 1/150
probability of winning a 3rd prize, $100
= p₃ = 1/300 = 1/300
E = expectation value = ∑ Vᵢpᵢ where Vᵢ = value of prize, pᵢ = probability of winning prize,
E = $10 ×1/100 + $50×1/150 + $100×1/300
=> E = $10/100 + $50/150 + $100/300
Taking LCM as 300 on right hand side,
=> E =( $30+ $100+$100)/300
=> E = $(230/300) = $0.766
So, expected winnings for a person buying one ticket is $0.766..
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a pool can be filled by one pump in 50 minutes and by another pump in 60 minutes. a third pump can drain the pool in 75 minutes. if all 3 pumps go into operation at the same time, how long will it take to fill the pool?
In 42 6/7 minutes the pool will get filed when all 3 pumps work together.
Given,
Time taken by the pump 1 to fill a pool = 50 minutes
Time taken by pump 2 to fill the same pool = 60 minutes
The time taken by pump 3 to drain the pool = 75 minutes
When all the 3 pumps work together, we have to find the time taken to fill the pool;
Here,
In every minute,
Pump 1 fills 1/50 of pool
Pump 2 fills 1/60 of pool
Pump 3 drains 1/75 of pool
That is,
1/50 + 1/60 - 1/75 = 6/300 + 5/300 - 4/300 = 11 - 4 / 300 = 7/300
The time taken = 300/7 minutes = 42 6/7 minutes
Therefore,
When the 3 pumps work together, it will take 42 6/7 minutes to fill the pool.
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What are the 4 ways to find slope?
Let us discuss the 4 ways to find the slope:
1. The first case is where, you have two points (x1,y1) and (x2,y2)
These points often may be intercepts of the x and/or y axes.
The equation of the slope is given by-
m= (y2−y1) / (x2−x1).
2. The second condition is where you are given the linear equation that is either in the form or can be manipulated into the form y=mx+b.
Here, the slope is m(the coefficient of x).
3. The third case is when you have a line that is a tangent to another function, you may have (or be able to determine) the slope of the tangent as the derivative of the function. Normally in such cases, the derivative is a function expressed in terms of x and all you need to do is substitute the value of x into this function for the required equation.
4. The fourth case is when you are given a graph as follows-
Here , the slope m = Δy/Δx
Also, note that tan θ = Δy/Δx
Hence, this tan θ is considered as the slope of the line.
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Mattie Evans drove 80 miles in the same amount of time that it took a turbopropeller plane to travel 420 miles. The speed of the plane was 170 mph faster than the speed of the car. Find the speed of the plane.
Answer:
200
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How do I solve this?
By using the fact that the sum of the internal angles must be equal to 360°, we will see that x = 18
How to find the value of x?Suppose we have a figure of N sides, the sum of the internal angles of that figure will be equal to:
S = (N - 2)*180°
In this case, we have 4 sides, then:
S = (4 - 2)*180° = 360°
Also notice that the figure is symmetrical around the two vertical vertices, then the angle at the left side (the only one that we don't know) also measures 101°, like the one in the right side.
Then we can write the linear equation:
100° + 101° + 101° + (4 + 3x)° = 360°
Now we can try to solve this for x.
(100° + 101° + 101°) + (4 + 3x)° = 360°
302° + (4 + 3x)° = 360°
(4 + 3x)° = 360° - 302°
4 + 3x = 58
3x = 58 - 4 = 54
x = 54/3
x = 18
That is the value of x in the kite.
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In triangle def, m∠d = (4x 15)°, m∠e = (5x 32)°, and m∠f = 70°. determine the degree measure of the exterior angle to ∠d. 137° 113° 67° 43°
The degree measure of the exterior angle triangle is ∠D = 137°.
What is Triangle ?Having three vertices and three angles that add up to 180 degrees, a triangle is a three-sided polygon.
given this, the angles D, E, and F in the triangle DEF are (4x + 15), (5x + 32), and 70 respectively.
The sum of the angles of a triangle is now 180°.
Therefore, we may write: m ∠D m∠ E m ∠F = 180
When all the numbers are substituted, we obtain the following results: (9x + 117 = 180) 9x
= 180 -117 (4x + 15) + (5x + 32) + 70
⇒ 9x = 63
⇒ x = 7
As a result, we obtain m∠ D = (4x + 15)°,
m∠ D = (4 x 7 + 15)°,
m ∠D = (28 + 15)°, and m∠ D = (43)°.
Furthermore, m∠ E = (5x + 32)°
m ∠E = (5 x 7 + 32)°
m ∠E = (35 + 32)°
m ∠E = 67°
Since, The measure of the exterior angle to ∠D = m ∠E + m ∠F
= 67° + 70
= 137°
Thus, The measure of the exterior angle ∠D will be 137°.
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A ball i drawn randomly from a jar that contain 5 red ball, 2 white ball, and 1 yellow ball. Find the probability of: Find P(red ball): Find P(NOT Yellow): Find P(white or yellow)
Following are all of the subparts' solutions using the probability formula:
Red ball (A) P: 5/8
(B) P: 7/8 (NOT Yellow)
(C) P(yellow or white): 3/8
What is probability?
Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.
What is an event?The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.
Probability formula: P(E) = favorable events/Total events
(A) P(red ball):
P(E) = favorable events/Total events
P(E) = 5/8
(B) P(NOT Yellow)
P(E) = favorable events/Total events
P(E) = 7/8
(C) P(white or yellow)
P(E) = favorable events/Total events
P(E) = 3/8
Therefore, the answers to all the subparts using the probability formula are shown:
(A) P(red ball): 5/8
(B) P(NOT Yellow): 7/8
(C) P(white or yellow): 3/8
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Factor out the coefficient of the variable term 4x-20
The coefficient of the variable term of the equation A = 4x - 20 is 4
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given as
A = 4x - 20
On simplifying the equation , we get
The value of A = 4x - 20
Taking 4 as the common factor of the equation , we get
The value of A = 4 ( x - 5 )
Therefore , the coefficient of the equation A is 4
Hence , The coefficient of the variable term of the equation A = 4x - 20 is 4
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2. Sarah needs to make at least 60 gift bags for an event. Each gift bag will contain at least 1 thumb drive or 1 key chain. She wants to use at least 5 times as many key chains as thumb drives. She has 30 thumb drives and 200 key chains.
Let x represent the number of key chains.
Let y represent the number of thumb drives.
Which inequalities are among the constraints for this situation?
The inequalities are among the constraints for this situation include the following;
x + y ≥ 50
x ≥ 5y
y ≤ 30
How to write the required system of inequalities?In order to write a system of inequalities to describe this situation, we would assign variables to the number of key chains and number of thumb drives respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of key chains.Let the variable y represent the number of thumb drives.Based on the information provided, we can logically deduce that there are three (3) inequalities with respect to the constraints for this situation.
Since Sarah needs to make at least (greater than or equal to) 60 gift bags for an event with each gift bag containing at least 1 thumb drive or 1 key chain, we have;
x + y ≥ 50
By using at least 5 times as many key chains as thumb drives, we have;
x ≥ 5y
Lastly, Sarah has 30 thumb drives and 200 key chains;
y ≤ 30
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12. Find the value of x. pls help me asap
Answer:
X= 121
Step-by-step explanation:
A five sided polygon (Pentagon)= (2n-4) x 90degrees
=(2(5) -4) x90 = (6 x 90)=540 degrees
Hence, x+ 92+135+105 + 87= 540 degrees
x+ 419=540
x= 540-419
x=121
Each craft box has 8 crayons Which equation represents the relationship between the total number of craft boxes, b, and the total number of crayons, c? O b = 8c b = c +8 Oc=b+8 Auto saved at c = 8b
HELP asap
Answer:
c=8b
Step-by-step explanation:
The number of crayons is equal to 8 times the number of boxes.
Andres needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 5. 25 hours and charged him $116 for parts. The total was $719. 75. Which equation could be used to determine cc, the cost of labor per hour?.
Answer:
5.25c + 116 = 719.75
Step-by-step explanation:
Let c = cost of labor per hour
He worked for 5.25 hours, so the part of the cost due to the hourly rate is
5.25c
You must the add the cost of the parts.
5.25c + 116
Now you set the total cost expression equal to the actual total cost.
5.25c + 116 = 719.75
trying to get a website that bypasses school content blocker if it works ill give brainliest
Answer:
Step-by-step explanation:
try iproxy from chrome
Answer:droneblocks
Step-by-step explanation:
the margin of error of a confidence interval is the error from biased sampling methods. True or False
PLEASE HELP ASAP!!
Find X. Round to the nearest tenth: 8ft,17ft and 16ft
The value of angle X is 69.10°
What is the cosine rule of triangles?The square of a side of a plane triangle equals the sum of the squares of the remaining sides minus twice the product of those sides and the cosine of the angle between them.
Given is a triangle XYZ, with sides 17ft, 8ft and 16ft
cosX = (z²+y²-x²)/2yz
cosX = (17²+8²-16²)/2x17x8
cosX = 97/272
X = cos⁻¹(97/272)
X = 69.10°
Hence, The value of angle X is 69.10°
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Given G (3, -1) and H (-9, 7), what is the slope of line GH ?
Answer:-2/3
Step-by-step explanation: the rise is 2 and the run is 3
PLS HELP 15 POINTS!!!!!!
15. What is the solution to the system of equations below?
y=4x+2
y=1/2x-5
A. (2,6)
B (6,2)
C. (-6,-2)
D. (-2,-6)
Someone help with Literal equations
Solve for R
a=nr2h
[tex]\displaystyle\\Answer:\ r=\sqrt{\frac{a}{nh} }[/tex]
Step-by-step explanation:
a=nr^2h
Divide both parts of the equation by nh:
[tex]\displaystyle\\\frac{a}{nh} =r^2\\[/tex]
Extract the square root of both parts of the equation:
[tex]\displaystyle\\\sqrt{\frac{a}{nh} } =\sqrt{r^2} \\\\\sqrt{\frac{a}{nh} } =r\\\\Thus,\ r=\sqrt{\frac{a}{nh} }[/tex]
Do dilations increase the measure of angles?
No , Dilation doesn't increase the measure of angles
Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.
This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.
The new figure obtained after dilation is called the image and the original image is called the pre-image
We dilate any figure by scale factor.
Dilated figures will always be similar figures.
Similar figures have the same shape, angles with the same measures, and the lengths of corresponding sides have equal ratios. The ratio is the same as the scale factor of the dilation.
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maximum contaminant levels (mcls) are regulations on water quality set by the united states environmental protection agency. researchers measured the chloramines mcls (in mg/l) of water samples from random locations of each of two wells. the data are given below. sample size sample mean sample sd well a 15 3.7 0.3 well b 19 3.4 0.6 assume normal populations with equal variance and construct a 95% confidence interval for the difference in mean mcls levels. find the upper bound of the confidence interval (round off to second decimal place).
Therefore , 95% confidence interval for the difference in mean mcls levels is 95% C.I = {4.0978 , 3.1423}.
What is confidence interval ?In frequentist statistics, a confidence interval is a range of estimates for an unobserved parameter. The most frequent confidence level is 95%, while other levels, such 90% or 99%, are occasionally used for computing confidence intervals.
Here,
Given:
c= 1.95 M.E = 0.5 ,n=?,C.V=1.96
Using formula,
=> M.E = C.V + [tex]\frac{c}{\sqrt{n} }[/tex]
=> 0.5 = 1.96 + 1.95/[tex]\sqrt{n}[/tex]
=> 0.5 = 3.822/[tex]\sqrt{n}[/tex]
=> [tex]\sqrt{n}[/tex] = 3.822/0.5
=> [tex]\sqrt{n}[/tex] = 7.644
=> n =58.43
=> n ≈ 58
So, n = 64 , [tex]x^{'}[/tex]=3.62,α=1.95
=> u = [tex]x^{'}[/tex] ± C.V * α/[tex]\sqrt{n}[/tex]
=> u = 3.62 ± 1.96 * 1.95/√64
=> u = 3.62 ± 0.47775
=> u = 3.62+ 0.47775 = 4.0978
or u=3.62-0.47775 = 3.1423
95% C.I = {4.0978 , 3.1423}
Therefore , 95% confidence interval for the difference in mean mcls levels is 95% C.I = {4.0978 , 3.1423}.
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Translational research/science will do which of the following? (Select all that apply.)
a. Result in biomedical research becoming less flexible in response to the needs of society
b. Limit interdisciplinary research because this does not enhance patient care
c. Take laboratory findings for development for use with patients at the bedside
d. Use clinical research findings to ask new questions for research in the laboratory
e. Discover practical applications for scientific theories and laws.
The options that are done by translational research or science are given as follows:
c. Take laboratory findings for development for use with patients at the bedside
d. Use clinical research findings to ask new questions for research in the laboratory
e. Discover practical applications for scientific theories and laws.
What is translational research?Translational research is a field of science that studies strategies to convert research results or data into strategies that actually benefit humans.
Hence statements c, d and e are correct, as they all involve strategies that benefit humans.
Statements a and b are incorrect, as:
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A 20-gallon drum i being filled with water at a contant rate of 2 gallon a minute. How many gallon of water have been added to the drum after 4 minute?
With a water flow rate of 2 gallons per minute (gpm), the volume of water after 4 minutes will be 8 gallons of water.
Gallons per minute (gpm) is a measurement of the flow rate of the liquid. Gpm measures how much volume of water is flowing out (in imperial measurement of gallon) of the pipe, shower head, taps, pumps, etc in a given time.
Given that a drum is being filled with a flow rate of 2 gpm and the time given is 4 minutes, we need to figure out the volume of water using a water flow rate gallons per minute (gpm) we will then calculate with the following formula:
Volume = flow rate × time
Volume = 2×4
Volume = 8 gallons
Therefore the drum will be filled with 8 gallons of water after 4 minutes of filling.
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Question 7 pls help!!!!!!!
The given ray is a bisector of a given angle.
So, the option (b) is the correct answer.
What is bisector?
Bisection in geometry is the division of an object into two equal or congruent parts, typically by a line, which is then referred to as a bisector. The segment bisector and the angle bisector are the two types of bisectors that are most frequently used.
An angle is divided into two equal parts by a ray known as an angle bisector or angle bisector. For instance, if ray AX divides a 60 degree angle into two equal parts, each measurement will be 30 degrees.
Consider, the given angle.
The given angle is bisects by a ray equally.
Hence, the given ray is a bisector of a given angle.
So, the option (b) is the correct answer.
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